The new growths are too small to narrow down its ID for you. Please make new post when the leaves are big enough for us to see its details. I’m only speculating for now, yours might be a Ming Aralia (Polyscias fruticosa) perhaps? This link below with help how to grow it as a houseplant. You could grow yours in similar way for now until the leaves are visible enough to confirm whether it is P. fruiticosa or not. Best wishes! On the side note, elevate the pot up with some type of pot risers or a bed of pebbles so it doesn’t sit in water of the saucer. http://www.guide-to-houseplants.com/ming-aralia.html

Looks like a corn plant, trimmed within an inch of its life. http://www.guide-to-houseplants.com/corn-plant.html